PLEASE HELP !!!!! which graph represents this system of inequalities?

Cesar has 32 boxes of pasta and 48 jars of sauce that he will be putting into bags for a food drive. He wants each bag to have t

zhannawk [14.2K]

Cesar has 32 boxes of pasta and 48 jars of sauce that he will be putting into bags for a food drive. He wants each bag to have the same amount of pasta and sauce and wants to use all of the items. Use the drop-down menus to complete the statements below about the number of bags Cesar can make.

What is the greatest number of bags Cesar can make and Each bag would have _____ pasta and _____ jars of sauce

Answer:

The greatest number of bags Cesar can make is 16 bags.

Each bag would have 2 pasta and 3 of jars of sauce

Step-by-step explanation:

We solve the above question using Greatest Common Factor method

The factors of 32 are: 1, 2, 4, 8, 16, 32

The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Then the greatest common factor is 16.

Hence, the greatest number of bags Cesar can make is 16 bags.

For Pasta, We have 32 pasta

Each bag would have: 32/16

= 2 pasta

For Jars of sauce, we have 48 jars of sauce.= 48/16

= 3 jars of sauce

4 0

2 years ago

Guys I need your help

vesna_86 [32]

Answer:

5x - 2 = 3x = 14

8x -2 = 14

8x = 14 + 2

8x = 16

x = 2

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

I need help with geometry. Find x.

I am Lyosha [343]

Answer:

Part 9) $x=5$

Part 10) $x=-9$

Step-by-step explanation:

we know that

The Midpoint Theorem states that: The segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side

Part 9) we know that

Point Q is the midpoint segment XY (QY=QX)

Point R is the midpoint segment XW (RW=RX)

Applying the Midpoint Theorem

RQ is parallel to WY

and

$RQ=\frac{1}{2}WY$

we have

$RQ=2x-3\\WY=x+9$

substitute

$2x-3=\frac{1}{2}(x+9)$

solve for x

$4x-6=(x+9)$

$4x-x=9+6$

$3x=15$

$x=5$

Part 10) we know that

Point B is the midpoint segment TS (BS=BT)

Point C is the midpoint segment RS (CS=CR)

Applying the Midpoint Theorem

BC is parallel to TR

and

$BC=\frac{1}{2}TR$

we have

$BC=x+19\\TR=x+29$

substitute

$x+19=\frac{1}{2}(x+29)$

solve for x

$2x+38=(x+29)$

$2x-x=29-38$

$x=-9$

5 0

3 years ago

The ages of students in a school are normally distributed with a mean of 15 years and a standard deviation of 2 years. Approxima

worty [1.4K]

We have been given that the ages of students in a school are normally distributed with a mean of 15 years and a standard deviation of 2 years.

We are asked to find the percentage of students that are between 14 and 18 years old.

First of all, we will find z-score corresponding to 14 and 18 using z-score formula.

$z=\frac{x-\mu}{\sigma}$

$z=\frac{14-15}{2}$

$z=\frac{-1}{2}$

$z=-0.5$

Similarly, we will find the z-score corresponding to 18.

$z=\frac{18-15}{2}$

$z=\frac{3}{2}$

$z=1.5$

Now we will find the probability of getting a z-score between $-0.5$ and $1.5$ that is $P(-0.5$ .

$P(-0.5$

Using normal distribution table, we will get:

$P(-0.5$

Let us convert $0.62465$ into percentage.

$0.62465\times 100\%=62.465\%\approx 62.5\%$

Therefore, approximately $62.5\%$ of the students are between 14 and 18 years old.

8 0

3 years ago

Read 2 more answers

I dont know how to do this

Kipish [7]

So what you're going to do is just multiply how you were normal to play multiply the numerator times the other numerator then multiply the denominator's and that should get you your answer and then you can try and simplify it by finding if it can be divided equally then see if it is bigger or smaller

4 0

3 years ago